Given a measure space (X, A, ). Let (fn) and f be extended real-valued mea- surable...
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Given a measure space (X, A, μ). Let (fn) and f be extended real-valued mea- surable functions on DEA and assume that f is real-valued a.e. on D. Suppose limn- fpfn-f|Pdp = 0 for some fixed pe (0, 0). Show that fnf on D. Given a measure space (X, A, μ). Let (fn) and f be extended real-valued mea- surable functions on DEA and assume that f is real-valued a.e. on D. Suppose limn- fpfn-f|Pdp = 0 for some fixed pe (0, 0). Show that fnf on D.
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Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
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